The discussion revolves around proving that the set {A, B} is linearly independent, where A is a symmetric matrix and B is a skew-symmetric matrix. Participants are exploring the properties of these types of matrices in the context of linear independence.
Some participants have noted that the definition of linear independence leads to a trivial solution, indicating a potential direction in the reasoning. However, there is no explicit consensus on the interpretation or the next steps to take.
There may be assumptions regarding the properties of symmetric and skew-symmetric matrices that are being discussed, but these are not fully articulated. The original poster expresses uncertainty about how to begin the proof.
physics=world said:1. Prove that if A is symmetric and B is skew-symmetric, then {A,B} is a linearly independent set.
I am going to need some help to solve this. Not sure how to begin.
Homework Equations
The Attempt at a Solution
physics=world said:in short the definition leads to the solution only being the trivial solution.